Abstract: A system configured to facilitate formation of additive manufacturing objects is described. The system may obtain a virtual three-dimensional representation of an object, determine positions for a layered series of contour lines for the object based on the three-dimensional representation; and determine individual wave functions that correspond to a given contour line for a given layer. An individual wave function may indicate a three or more dimensional waveform pathway for an additive manufacturing platform to follow within a given layer when forming the given layer of the object. The system may control movement of the additive manufacturing platform to additively manufacture the object following waveform pathways. Controlling movement of the additive manufacturing platform based on the wave functions facilitates additively manufacturing objects without a need for support material for overhanging features.